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Finding the Fourth Proportional to 572.68, 784.25 and 569.32

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Solution

The fourth proportional to 572.68, 784.25 and 569.32 is: 779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.68 : 784.25 = 569.32 : x
  2. Step 2: Convert to fraction form
    572.68/784.25 = 569.32/x
  3. Step 3: Cross multiply
    572.68x = 784.25 × 569.32
  4. Step 4: Simplify right side
    572.68x = 446,489.21
  5. Step 5: Solve for x
    x = 446,489.21/572.68
  6. Step 6: Final answer
    x = 779.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.